微管中瞬态电渗流和压力驱动流的分析解决方案

IF 1.8 Q3 MECHANICS
Fluids Pub Date : 2024-06-11 DOI:10.3390/fluids9060140
Yu Feng, H. Yi, Ruguan Liu
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引用次数: 0

摘要

本研究的重点是推导并提出一个无穷级数,作为微管中瞬态电渗流和压力驱动流的分析解。在同时存在电场和压力梯度的情况下,这种流体动力学的数学表达方式利用了从广义连续性方程和动量方程中推导出来的、针对层流和轴对称流动进行了简化的支配方程。通过改变微管半径与德拜长度的比值和电渗滑移速度,分析了速度曲线的发展、表观滑移诱导的流速和剪应力分布。此外,还得出了水力直径、运动粘度和滑移诱导流速的 "延迟时间"。为方便工程设计,还提出了一种更简单的稳定电渗流多项式级数近似方法。本研究中获得的分析解不仅加深了对微管内电渗流动特性的基本理解,强调了电渗和压力驱动机制之间的相互作用,还可作为验证计算流体动力学模型的基准,用于在更复杂的流域中进行电渗流动模拟。此外,分析方法有助于参数分析,使人们更深入地了解物理参数对电渗和压力驱动流动行为的影响,这对优化实际应用中的设备性能至关重要。这些发现还为医疗保健领域的诊断和治疗策略提供了深刻的启示,特别是增强了片上实验室技术的能力,并为未来开发和优化微流控系统的研究铺平了道路。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Analytical Solution for Transient Electroosmotic and Pressure-Driven Flows in Microtubes
This study focuses on deriving and presenting an infinite series as the analytical solution for transient electroosmotic and pressure-driven flows in microtubes. Such a mathematical presentation of fluid dynamics under simultaneous electric field and pressure gradients leverages governing equations derived from the generalized continuity and momentum equations simplified for laminar and axisymmetric flow. Velocity profile developments, apparent slip-induced flow rates, and shear stress distributions were analyzed by varying values of the ratio of microtube radius to Debye length and the electroosmotic slip velocity. Additionally, the “retarded time” in terms of hydraulic diameter, kinematic viscosity, and slip-induced flow rate was derived. A simpler polynomial series approximation for steady electroosmotic flow is also proposed for engineering convenience. The analytical solutions obtained in this study not only enhance the fundamental understanding of the electroosmotic flow characteristics within microtubes, emphasizing the interplay between electroosmotic and pressure-driven mechanisms, but also serve as a benchmark for validating computational fluid dynamics models for electroosmotic flow simulations in more complex flow domains. Moreover, the analytical approach aids in the parametric analysis, providing deeper insights into the impact of physical parameters on electroosmotic and pressure-driven flow behavior, which is critical for optimizing device performance in practical applications. These findings also offer insightful implications for diagnostic and therapeutic strategies in healthcare, particularly enhancing the capabilities of lab-on-a-chip technologies and paving the way for future research in the development and optimization of microfluidic systems.
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来源期刊
Fluids
Fluids Engineering-Mechanical Engineering
CiteScore
3.40
自引率
10.50%
发文量
326
审稿时长
12 weeks
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